title: Gompertz-Makeham life expectancies: expressions and applications.
abstract: In a population of individuals, whose mortality is governed by a Gompertz-Makeham hazard, we derive closed-form solutions to the life-expectancy integral, corresponding to the cases of homogeneous and gamma-heterogeneous populations, as well as in the presence/absence of the Makeham term. Derived expressions contain special functions that aid constructing high-accuracy approximations, which can be used to study the elasticity of life expectancy with respect to model parameters. Knowledge of Gompertz-Makeham life expectancies aids constructing life-table exposures.
authors.affiliation: Max Planck Institute for Demographic Research, Laboratory of Survival and Longevity, Konrad-Zuse-Str. 1, 18057 Rostock, Germany; Faculty of Economic and Social Sciences, Institute of Sociology and Demography, University of Rostock, Ulmenstr. 69, 18051 Rostock, Germany. Electronic address: Missov@demogr.mpg.de.
authors.forename: Trifon I
authors.initials: TI
authors.lastname: Missov
authors.forename: Adam
authors.initials: A
authors.lastname: Lenart
mesh_terms: D006801:Humans; D008017:Life Expectancy; D008962:Models, Theoretical
keywords: Elasticities; Exposures; Gompertz–Makeham model; Life expectancy; Special functions; Unobserved heterogeneity